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Finding the Fourth Proportional to 289.90, 399.93 and 185.12

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Solution

The fourth proportional to 289.90, 399.93 and 185.12 is: 255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.90 : 399.93 = 185.12 : x
  2. Step 2: Convert to fraction form
    289.90/399.93 = 185.12/x
  3. Step 3: Cross multiply
    289.90x = 399.93 × 185.12
  4. Step 4: Simplify right side
    289.90x = 74,035.04
  5. Step 5: Solve for x
    x = 74,035.04/289.90
  6. Step 6: Final answer
    x = 255.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.